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The European Physical Journal Special Topics

, Volume 146, Issue 1, pp 427–441 | Cite as

Universal non-equilibrium phenomena at submicrometric surfaces and interfaces

  • R. Cuerno
  • M. Castro
  • J. Munoz-García
  • R. Gago
  • L. Vázquez
Article

Abstract.

The recent widespread interest in processes occurring at micro and nanometric scales has increased the physical relevance of the surfaces and interfaces constituting system boundaries, both at and far from equilibrium. In the latter case, universal properties occur, such as scale invariance (surface kinetic roughening), surface pattern formation or domain coarsening. However, descriptions of these systems feature limited predictive power when based merely on universality principles. We review examples from Materials Science at nano and submicrometric scales, that underlie the importance of describing growing surfaces by means of (phenomenological) constitutive laws, in order to correctly describe the rich behaviors experimentally found across many different systems. Additionally, this approach provides new generic models that are also of interest in the wider contexts of Pattern Formation and Non-Linear Science.

Keywords

Pattern Formation European Physical Journal Special Topic Move Boundary Morphological Instability Vicinal Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • R. Cuerno
    • 1
  • M. Castro
    • 2
  • J. Munoz-García
    • 2
  • R. Gago
    • 3
  • L. Vázquez
    • 4
  1. 1.Departamento de Matemáticas and Grupo Interdisciplinar de Sistemas Complejos (GISC)Universidad Carlos III de MadridLeganésSpain
  2. 2.Escuela Técnica Superior de Ingeniería and GISC, Universidad Pontificia de ComillasMadridSpain
  3. 3.Centro de Micro-Análisis de Materiales, Universidad Autónoma de MadridMadridSpain
  4. 4.Instituto de Ciencia de Materiales de Madrid (CSIC)MadridSpain

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